6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Find the ratio of the surfaces of the inscribed and circumscribed spheres about a cube.

A) 1:2	B) 1;3
C) 1:4	D) 1:5

Answer & Explanation Answer: A) 1:2

Explanation:

$4 \times 3.14 \times r^{2} : 4 \times 3.14 \times {(\sqrt{r})}^{2} = 1 : 2$

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
Job Role: Bank PO

10 7750

Q:

The rational for the recurring decimal 0.125125......is

A) 125/99	B) 125/999
C) 125/9999	D) 125/9

Answer & Explanation Answer: B) 125/999

Explanation:

0.125125...... = $0 . \bar{125}$ = 125/999

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Filed Under: Decimal Fractions

12 7745

Q:

Rajesh rows in still water with a speed of 4.5 kmph to go to a certain place and comes back. Find his average speed for the whole journey, if the river is flowing with a speed of 1.5 kmph?

A) 2 kmph	B) 4 kmph
C) 6 kmph	D) 8 kmph

Answer & Explanation Answer: B) 4 kmph

Explanation:

Let the distance in one direction = k kms

Speed in still water = 4.5 kmph

Speed of river = 1.5

Hence, speed in upstream = 4.5 - 1.5 = 3 kmph

Speed in downstream = 4.5 + 1.5 = 6 kmph

Time taken by Rajesh to row upwards = k/3 hrs

Time taken by Rajesh to row downwards = k/6 hrs

Now, required Average speed = $\frac{Total distance}{Total speed} = \frac{2 k}{\frac{k}{3} + \frac{k}{6}} = \frac{2 k x 18}{6 k + 3 k} = 4 kmph$

Therefore, the average speed of the whole journey = 4kmph.

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Filed Under: Boats and Streams
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Analyst , Bank Clerk , Bank PO , Database Administration

19 7740

Q:

The ratio of the number of marbles that Pulak and Menaja had was 5:9 while the ratio of the number of marbles that Jairam and Menaja had was 7:18. What is the ratio of the number of marbles that Pulak and Jairam had?

A) 10:7	B) 2:3
C) 5:7	D) 7:5

Answer & Explanation Answer: A) 10:7

Explanation:

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

11 7732

Q:

In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize ?

A) 1/7	B) 2/7
C) 3/7	D) 2/5

Answer & Explanation Answer: B) 2/7

Explanation:

P(getting prize) = 10/ (10 + 25) =2/7

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Filed Under: Probability

1 7724

Q:

Average age of 4 daughters of a family is 12 years. The average age of daughters and their parents is 26 years. If the mother is 4 years older than the father, then what is the age (in years) of the father?

A) 56	B) 52
C) 48	D) 44

Answer & Explanation Answer: B) 52

Explanation:

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Filed Under: Problems on Ages
Exam Prep: Bank Exams

21 7712

Q:

The true discount on a bill due 9 months hence at 12% per annum is Rs. Find the amount of the bill and its present worth.

A) 1500	B) 1600
C) 6200	D) 6000

Answer & Explanation Answer: D) 6000

Explanation:

Let amount be Rs. x.

Then, [X * R * T] / [100+(R * T)]

$\Rightarrow \frac{x \times 12 \times \frac{3}{4}}{100 + (12 \times \frac{3}{4})} = 540$

x= Rs.6540

Amount = Rs. 6540.

P.W. = Rs. (6540 – 540) =Rs. 6000.

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Filed Under: True Discount

7 7712

Q:

In the following question, four groups of three numbers are given. In each group the second and third number are related to the first number by a Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

A) (4, 8, 16)	B) (9, 18, 36)
C) (6, 12, 24)	D) (5, 10, 25)

Quantitative Aptitude - Arithmetic Ability Questions

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